Volume 16 No 2 (2018)
Download PDF
Control of Hopf Bifurcations in Hodgkin-Huxley Neurons by Automatic Temperature Manipulation
Reşat Özgür Doruk
Abstract
The purpose of this research is to revisit the bifurcation control problem in Hodgkin-Huxley neurons. As a
difference from the classical membrane potential feedback to manipulate the external current injection, we will
actuate the temperature of the neural environment to control the bifurcations. In order to achieve this a linear
feedback from the membrane potential is established to generate a time varying temperature profile. The
considered bifurcating parameter is the external current injection. Upon finishing the controllers, the bifurcation
analysis against the changes in external current injection is repeated in order to see the possibility of relapse of any
bifurcation phenomena at nearby points. In addition to that, simulations are also provided to show the
performances of the controllers
Keywords
Hodgkin-Huxley Models, HopfBifurcation, Linear Feedback, Temperature Effects, MATCONT
Copyright
Copyright © Neuroquantology
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Articles published in the Neuroquantology are available under Creative Commons Attribution Non-Commercial No Derivatives Licence (CC BY-NC-ND 4.0). Authors retain copyright in their work and grant IJECSE right of first publication under CC BY-NC-ND 4.0. Users have the right to read, download, copy, distribute, print, search, or link to the full texts of articles in this journal, and to use them for any other lawful purpose.